I don't think a season two would be good(unless they actually intend to resolve things), as it rarely improves anything with this type of show. Kawaisou has all the hall marks of being a new Mysterious Girlfriend, the relationship won't progress and characters will remain in the same stilted holding pattern with little more than situational comedy and maybe a bit of drama, none of which will have much effect.

Coathatwrote: For what ever reason there are 11 chapters in the iOS app.

I'm wondering why they went with the Japanese name for the manga when the anime has a proper English title. It's a little confusing

Its the manga-ka and the publisher who decide the name for the manga, the anime production committee ~ normally the overseas licensor subject to veto by the manga-ka ~ who decide the name for the anime.

So when the manga-ka doesn't intervene, the publisher and the anime overseas licensor can easily make a different decision.

From the previous ones that have been put up, the Manga 2.5 titles are normally selected chapters collected to make what feels like a complete story. Karasuma Kyōko no Jikenbo was definitely like that, since the original manga was released as a ten volume (tankoubon) series in Japan, so the Manga 2.5 was following a particular recurring plot arc through the series to make a single story in eight episodes.

(Well, I guess except for slice of life where there is no broad plot arc to be found, where its more like "an introduction to ...".)